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On Estimating the Parameters of the Beta Inverted Exponential Distribution under Type-II Censored Samples
| Content Provider | MDPI |
|---|---|
| Author | Aldahlan, Maha A. Bakoban, Rana A. Alzahrani, Leena S. |
| Copyright Year | 2022 |
| Description | This article aims to consider estimating the unknown parameters, survival, and hazard functions of the beta inverted exponential distribution. Two methods of estimation were used based on type-II censored samples: maximum likelihood and Bayes estimators. The Bayes estimators were derived using an informative gamma prior distribution under three loss functions: squared error, linear exponential, and general entropy. Furthermore, a Monte Carlo simulation study was carried out to compare the performance of different methods. The potentiality of this distribution is illustrated using two real-life datasets from difference fields. Further, a comparison between this model and some other models was conducted via information criteria. Our model performs the best fit for the real data. |
| Starting Page | 506 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10030506 |
| Journal | Mathematics |
| Issue Number | 3 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-02-05 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Bayes Estimators Beta Inverted Exponential Distribution Generalized Hypergeometric Function Loss Functions Maximum Likelihood Estimators Simulation Study Type-ii Censored Samples |
| Content Type | Text |
| Resource Type | Article |